How much gold is in your rock?
Two weights on a kitchen scale tell you the gold content of a nugget or specimen.
How this is worked out
The water reading is the weight of water the nugget pushes aside, which equals its volume in cm³. Gold is very dense (SG 19.3) and rock is not, so the volume tells you how the weight is split.
Treat the answer as a good estimate, not an exact figure. Three things move it: the sum assumes pure gold, and natural gold is usually 92–97% fine, so the true gold is a few percent lower than shown; any trapped air or a vug in the specimen reads as extra rock; and on a small piece the accuracy of your scale dominates everything — 0.1 g of slop in the water reading can move the result by a gram or more. Weigh it two or three times and see how much the answer wanders.
DetectorMods, Ballarat. Every figure here is an estimate from two weights — assaying is the only exact method, and the only one a buyer will settle on.